Question

Graph the quadric surfaces given by the equations

$x^2=\frac{y^2}{9}+\frac{z^2}{9}$

Short answer

The surface graph is a cone, as illustrated below.

Step-by-step solution

Introduction.

Quadric surfaces are described in two dimensions by quadratic equations. Quadrics include spheres and cones.

Given Information.

Consider the following formula:

$x^2=\frac{y^2}{9}+\frac{z^2}{9}$

The goal is to create a graph of the quadric surface.

Explanation.

The surface graph is a cone, as illustrated below.